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Radical chiral Floquet phases in a periodically driven Kitaev model and beyond

Hoi Chun Po, Lukasz Fidkowski, Ashvin Vishwanath, and Andrew C. Potter
Phys. Rev. B 96, 245116 – Published 12 December 2017

Abstract

We theoretically discover a family of nonequilibrium fractional topological phases in which time-periodic driving of a 2D system produces excitations with fractional statistics, and produces chiral quantum channels that propagate a quantized fractional number of qubits along the sample edge during each driving period. These phases share some common features with fractional quantum Hall states, but are sharply distinct dynamical phenomena. Unlike the integer-valued invariant characterizing the equilibrium quantum Hall conductance, these phases are characterized by a dynamical topological invariant that is a square root of a rational number, inspiring the label: radical chiral Floquet phases. We construct solvable models of driven and interacting spin systems with these properties, and identify an unusual bulk-boundary correspondence between the chiral edge dynamics and bulk “anyon time-crystal” order characterized by dynamical transmutation of electric-charge into magnetic-flux excitations in the bulk.

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  • Received 27 April 2017

DOI:https://doi.org/10.1103/PhysRevB.96.245116

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Hoi Chun Po1,2, Lukasz Fidkowski3,4, Ashvin Vishwanath1,2, and Andrew C. Potter5

  • 1Department of Physics, University of California, Berkeley, California 94720, USA
  • 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 3Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA
  • 4Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA
  • 5Department of Physics, University of Texas at Austin, Austin, Texas 78712, USA

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Issue

Vol. 96, Iss. 24 — 15 December 2017

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